FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Triangular Prism given Two Sides and Third Angle Formula

GoVolume of Triangular Prism Formula

GoVolume of Triangular Prism given Two Angles and Third Side Formula

Fx Copy

LaTeX Copy

The Volume of Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism. Check FAQs

V = \frac{\sin (∠C)}{2} \cdot h \cdot S a \cdot S b

V - Volume of Triangular Prism?∠C - Angle C of Base of Triangular Prism?h - Height of Triangular Prism?S_a - Side A of Base of Triangular Prism?S_b - Side B of Base of Triangular Prism?

Volume of Triangular Prism given Two Sides and Third Angle Example

With values

With units

Only example

Here is how the Volume of Triangular Prism given Two Sides and Third Angle equation looks like with Values.

Here is how the Volume of Triangular Prism given Two Sides and Third Angle equation looks like with Units.

Here is how the Volume of Triangular Prism given Two Sides and Third Angle equation looks like.

1644.4621 = \frac{\sin (110)}{2} \cdot 25 \cdot 10 \cdot 14

1644.4621m³ = \frac{\sin (110°)}{2} \cdot 25m \cdot 10m \cdot 14m

1644.4621 = \frac{\sin (110)}{2} \cdot 25 \cdot 10 \cdot 14

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Volume of Triangular Prism given Two Sides and Third Angle

Volume of Triangular Prism given Two Sides and Third Angle Solution

Follow our step by step solution on how to calculate Volume of Triangular Prism given Two Sides and Third Angle?

FIRST Step Consider the formula

V = \frac{\sin (∠C)}{2} \cdot h \cdot S a \cdot S b

Next Step Substitute values of Variables

∴

V = \frac{\sin (110°)}{2} \cdot 25m \cdot 10m \cdot 14m

Next Step Convert Units

∴

V = \frac{\sin (1.9199rad)}{2} \cdot 25m \cdot 10m \cdot 14m

Next Step Prepare to Evaluate

∴

V = \frac{\sin (1.9199)}{2} \cdot 25 \cdot 10 \cdot 14

Next Step Evaluate

∴

V = 1644.46208637556m³

LAST Step Rounding Answer

∴

V = 1644.4621m³

Volume of Triangular Prism given Two Sides and Third Angle Formula Elements

Variables

Functions

Volume of Triangular Prism

The Volume of Triangular Prism is the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triangular Prism

Angle C of Base of Triangular Prism

Angle C of Base of Triangular Prism is the measure of angle C between the two intersecting sides, side A and side B of Triangular Prism.

Symbol: ∠C

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle C of Base of Triangular Prism

Height of Triangular Prism

The Height of Triangular Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Triangular Prism

Side A of Base of Triangular Prism

The Side A of Base of Triangular Prism is the length of the side A of base, of the three base edges of the Triangular Prism.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Base of Triangular Prism

Side B of Base of Triangular Prism

The Side B of Base of Triangular Prism is the length of the side B of base, of the three base edges of the Triangular Prism.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Base of Triangular Prism

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Volume of Triangular Prism

Go Volume of Triangular Prism

V = \frac{1}{4} \cdot h \cdot \sqrt{(S a + S b + S c) \cdot (S b + S c - S a) \cdot (S a + S c - S b) \cdot (S a + S b - S c)}

Go Volume of Triangular Prism given Two Angles and Third Side

V = \frac{\sin (∠B) \cdot \sin (π - ∠A - ∠B)}{2 \cdot \sin (∠A)} \cdot h \cdot {S a}^{2}

Go Volume of Triangular Prism given Base Area

V = A Base \cdot h

Go Volume of Triangular Prism given Side and Altitude

V = h \cdot \frac{h' a \cdot S a}{2}

How to Evaluate Volume of Triangular Prism given Two Sides and Third Angle?

Volume of Triangular Prism given Two Sides and Third Angle evaluator uses Volume of Triangular Prism = sin(Angle C of Base of Triangular Prism)/2*Height of Triangular Prism*Side A of Base of Triangular Prism*Side B of Base of Triangular Prism to evaluate the Volume of Triangular Prism, Volume of Triangular Prism given Two Sides and Third Angle formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Prism and calculated using the angle between the two sides, two sides, and height of the Triangular Prism. Volume of Triangular Prism is denoted by V symbol.

How to evaluate Volume of Triangular Prism given Two Sides and Third Angle using this online evaluator? To use this online evaluator for Volume of Triangular Prism given Two Sides and Third Angle, enter Angle C of Base of Triangular Prism (∠C), Height of Triangular Prism (h), Side A of Base of Triangular Prism (S_a) & Side B of Base of Triangular Prism (S_b) and hit the calculate button.

FAQs on Volume of Triangular Prism given Two Sides and Third Angle

What is the formula to find Volume of Triangular Prism given Two Sides and Third Angle?

The formula of Volume of Triangular Prism given Two Sides and Third Angle is expressed as Volume of Triangular Prism = sin(Angle C of Base of Triangular Prism)/2*Height of Triangular Prism*Side A of Base of Triangular Prism*Side B of Base of Triangular Prism. Here is an example- 1644.462 = sin(1.9198621771934)/2*25*10*14.

How to calculate Volume of Triangular Prism given Two Sides and Third Angle?

With Angle C of Base of Triangular Prism (∠C), Height of Triangular Prism (h), Side A of Base of Triangular Prism (S_a) & Side B of Base of Triangular Prism (S_b) we can find Volume of Triangular Prism given Two Sides and Third Angle using the formula - Volume of Triangular Prism = sin(Angle C of Base of Triangular Prism)/2*Height of Triangular Prism*Side A of Base of Triangular Prism*Side B of Base of Triangular Prism. This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Volume of Triangular Prism?

Here are the different ways to Calculate Volume of Triangular Prism-

Volume of Triangular Prism=1/4*Height of Triangular Prism*sqrt((Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*(Side B of Base of Triangular Prism+Side C of Base of Triangular Prism-Side A of Base of Triangular Prism)*(Side A of Base of Triangular Prism+Side C of Base of Triangular Prism-Side B of Base of Triangular Prism)*(Side A of Base of Triangular Prism+Side B of Base of Triangular Prism-Side C of Base of Triangular Prism))
Volume of Triangular Prism=(sin(Angle B of Base of Triangular Prism)*sin(pi-Angle A of Base of Triangular Prism-Angle B of Base of Triangular Prism))/(2*sin(Angle A of Base of Triangular Prism))*Height of Triangular Prism*Side A of Base of Triangular Prism^2
Volume of Triangular Prism=Base Area of Triangular Prism*Height of Triangular Prism

Can the Volume of Triangular Prism given Two Sides and Third Angle be negative?

No, the Volume of Triangular Prism given Two Sides and Third Angle, measured in Volume cannot be negative.

Which unit is used to measure Volume of Triangular Prism given Two Sides and Third Angle?

Volume of Triangular Prism given Two Sides and Third Angle is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Triangular Prism given Two Sides and Third Angle can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of Triangular Prism given Two Sides and Third Angle Formula

​GoVolume of Triangular Prism Formula

​GoVolume of Triangular Prism given Two Angles and Third Side Formula

Volume of Triangular Prism given Two Sides and Third Angle Example

Volume of Triangular Prism given Two Sides and Third Angle Solution

Volume of Triangular Prism given Two Sides and Third Angle Formula Elements

Other Formulas to find Volume of Triangular Prism

How to Evaluate Volume of Triangular Prism given Two Sides and Third Angle?

FAQs on Volume of Triangular Prism given Two Sides and Third Angle

Variable Name

GoVolume of Triangular Prism Formula

GoVolume of Triangular Prism given Two Angles and Third Side Formula